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Finding the Third Proportional to 473,304.91 and 1,018,780.83

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Solution

The third proportional to 473,304.91 and 1,018,780.83 is: 2,192,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,304.91 : 1,018,780.83 = 1,018,780.83 : x
  2. Step 2: Convert to fraction form
    473,304.91/1,018,780.83 = 1,018,780.83/x
  3. Step 3: Cross multiply
    473,304.91x = 1,018,780.83 × 1,018,780.83
  4. Step 4: Simplify right side
    473,304.91x = 1,037,914,375,755.06
  5. Step 5: Solve for x
    x = 1,037,914,375,755.06/473,304.91
  6. Step 6: Final answer
    x = 2,192,908.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.